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Finding the Fourth Proportional to 5,749.31, 8,626.05 and 2,829.67

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Solution

The fourth proportional to 5,749.31, 8,626.05 and 2,829.67 is: 4,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.31 : 8,626.05 = 2,829.67 : x
  2. Step 2: Convert to fraction form
    5,749.31/8,626.05 = 2,829.67/x
  3. Step 3: Cross multiply
    5,749.31x = 8,626.05 × 2,829.67
  4. Step 4: Simplify right side
    5,749.31x = 24,408,853.34
  5. Step 5: Solve for x
    x = 24,408,853.34/5,749.31
  6. Step 6: Final answer
    x = 4,245.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.